Answer: The exponents in the prime factorization are 2, 1, and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Therefore 315 has exactly 12 factors.
Step-by-step explanation: First, the exponents in the prime factorization are 2, 1, and 1. Then adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Finally, 315 has exactly 12 factors.
Answer:
B) A one-sample t-test for population mean would be used.
Step-by-step explanation:
The complete question is shown in the image below.
The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.
The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.
Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.
If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.
Therefore, we can conclude that A one-sample t-test for population mean would be used.
Answer:
20 units
Step-by-step explanation:
This implies that the square can be divided into four equal L-shaped regions. These regions with respect to transformation forms a square.
Perimeter of the square is 40 units. Since a square has equal length of sides, thus each side of the square is 10 units.
Thus, each L-shape region has dimensions; 8 units, 5 units, 5 units and 2 units.
Perimeter of each L-shape region = the addition of the length of each side of the shape
Perimeter of each L-shape region = 8 + 5 + 5 + 2
= 20 units
<span>
First, (again lol) you multiply the amount of chocolate chips the recipe calls for by the amount Lee wants to make.</span>
<span />so its 3/4 * 2/3
<span> =</span>
<span>6/12</span>
<span>1/2</span>
<span>Lee will need a fraction of 1/2 of a chip of chocolate chips for the recipe</span>
If quarterly shrinkage (every 3 months) is 2.5%, then multiplying by $875,495 gives a value of 21887.38, or an average monthly shrinkage of 21887.38 / 3 = $7,295.79.For an employee to monitor the CCTV, it would cost ($7.5/h)(11 h/d)(30 d/m) = $2,475/month. Therefore, it is much cheaper (around 2/3 cheaper) to have an employee monitor CCTV rather than to allow the high shrinkage rate.
